REAL

Extension of a spatial evolutionary coordination game with neutral options

Szabó, György and Király, Balázs (2016) Extension of a spatial evolutionary coordination game with neutral options. PHYSICAL REVIEW E - STATISTICAL, NONLINEAR AND SOFT MATTER PHYSICS, 93 (5). 052108. ISSN 1539-3755

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Abstract

The multiagent evolutionary games on a lattice are equivalent to a kinetic Ising model if the uniform pair interactions are defined by a two-strategy coordination game and the logit rule controls the strategy updates. Now we extend this model by allowing the players to use additional neutral strategies that provide zero payoffs for both players if one of them selects one of the neutral strategies. In the resulting n-strategy evolutionary games the analytical methods and numerical simulations indicate continuous order-disorder phase transitions when increasing the noise level if n does not exceed a threshold value. For larger n the system exhibits a first order phase transition at a critical noise level decreasing asymptotically as 2/ln(n). © 2016 American Physical Society.

Item Type: Article
Uncontrolled Keywords: Order disorder transitions; Threshold-value; Strategy coordination; Pair interactions; Order disorder phase transitions; Kinetic Ising model; First-order phase transitions; Evolutionary games; analytical method; Numerical methods; Ising model
Subjects: Q Science / természettudomány > QC Physics / fizika
T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 27 May 2016 07:38
Last Modified: 27 May 2016 07:38
URI: http://real.mtak.hu/id/eprint/35405

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